Details

sample205.0ms

Algorithm

intervals

Results

106.0ms	107×	body	1280	valid
42.0ms	76×	body	640	valid
21.0ms	228×	body	80	nan
16.0ms	38×	body	320	valid
6.0ms	24×	body	160	valid
1.0ms	11×	body	80	valid

simplify104.0ms

Calls

1 calls:

Slowest

104.0ms

(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize25.0ms

Local error

Found 2 expressions with local error:

6.5b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`log-prod`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Calls

2 calls:

Slowest

402.0ms	(/ (+ x 1) (- 1 x))
3.0ms	(log (/ (+ x 1) (- 1 x)))

series65.0ms

Calls

2 calls:

Slowest

55.0ms	(log (/ (+ x 1) (- 1 x)))
10.0ms	(/ (+ x 1) (- 1 x))

simplify2.2s

Calls

53 calls:

Slowest

398.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
178.0ms	(log (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
153.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
150.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
108.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune542.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)
0.0b	(* x (+ (* x (* 2/3 x)) 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

7.0ms	(* x (+ (* x (* 2/3 x)) 2))
5.0ms	(* (pow x 5) 2/5)
2.0ms	(* x (* 2/3 x))
1.0ms	(* 2/3 x)

series102.0ms

Calls

4 calls:

Slowest

39.0ms	(* x (+ (* x (* 2/3 x)) 2))
34.0ms	(* (pow x 5) 2/5)
18.0ms	(* x (* 2/3 x))
11.0ms	(* 2/3 x)

simplify606.0ms

Calls

21 calls:

Slowest

280.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
68.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
61.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
42.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
27.0ms	(+ (* x (* 2/3 x)) 2)

prune554.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (* x (* 2/3 x)) x)
0.1b	(* (pow x 5) 2/5)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
1×	`associate-r`

Calls

4 calls:

Slowest

7.0ms	(* (* x (* 2/3 x)) x)
5.0ms	(* (pow x 5) 2/5)
2.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)

series79.0ms

Calls

4 calls:

Slowest

26.0ms	(* (* x (* 2/3 x)) x)
23.0ms	(* (pow x 5) 2/5)
19.0ms	(* x (* 2/3 x))
12.0ms	(* 2/3 x)

simplify114.0ms

Calls

14 calls:

Slowest

21.0ms	(* 2/3 (pow x 3))
17.0ms	(* 2/3 (pow x 3))
11.0ms	(* 2/3 (pow x 3))
9.0ms	(* 2/3 (pow x 2))
9.0ms	(* 2/3 (pow x 2))

prune582.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (exp (* (* x (* 2/3 x)) x)))
0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (* x (* 2/3 x)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`log-prod` `log-pow` `*-commutative`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `associate-r` `associate-l`

Calls

4 calls:

Slowest

7.0ms	(* (* x (* 2/3 x)) x)
5.0ms	(log (exp (* (* x (* 2/3 x)) x)))
2.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)

series72.0ms

Calls

4 calls:

Slowest

27.0ms	(log (exp (* (* x (* 2/3 x)) x)))
20.0ms	(* x (* 2/3 x))
18.0ms	(* (* x (* 2/3 x)) x)
7.0ms	(* 2/3 x)

simplify285.0ms

Calls

16 calls:

Slowest

73.0ms	(log (sqrt (exp (* (* x (* 2/3 x)) x))))
52.0ms	(log (* (cbrt (exp (* (* x (* 2/3 x)) x))) (cbrt (exp (* (* x (* 2/3 x)) x)))))
22.0ms	(* 2/3 (pow x 3))
20.0ms	(* 2/3 (pow x 3))
18.0ms	(* 2/3 (pow x 3))

prune699.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.0s	3411×	body	1280	valid
1.7s	2481×	body	640	valid
985.0ms	7955×	body	80	nan
572.0ms	1249×	body	320	valid
196.0ms	650×	body	160	valid
24.0ms	209×	body	80	valid